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Simplifying 60 = -2(21 + -1z) + 4(z + -3) 60 = (21 * -2 + -1z * -2) + 4(z + -3) 60 = (-42 + 2z) + 4(z + -3) Reorder the terms: 60 = -42 + 2z + 4(-3 + z) 60 = -42 + 2z + (-3 * 4 + z * 4) 60 = -42 + 2z + (-12 + 4z) Reorder the terms: 60 = -42 + -12 + 2z + 4z Combine like terms: -42 + -12 = -54 60 = -54 + 2z + 4z Combine like terms: 2z + 4z = 6z 60 = -54 + 6z Solving 60 = -54 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 60 + -6z = -54 + 6z + -6z Combine like terms: 6z + -6z = 0 60 + -6z = -54 + 0 60 + -6z = -54 Add '-60' to each side of the equation. 60 + -60 + -6z = -54 + -60 Combine like terms: 60 + -60 = 0 0 + -6z = -54 + -60 -6z = -54 + -60 Combine like terms: -54 + -60 = -114 -6z = -114 Divide each side by '-6'. z = 19 Simplifying z = 19
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